Coupling of general Lagrangian systems

Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.

doi:10.1090/S0025-5718-07-02064-9

Coupling of general Lagrangian systems
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by A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart and N. Seguin PDF

Math. Comp. 77 (2008), 909-941 Request permission

Abstract:

This work is devoted to the coupling of two fluid models, such as two Euler systems in Lagrangian coordinates, at a fixed interface. We define coupling conditions which can be expressed in terms of continuity of some well chosen variables and then solve the coupled Riemann problem. In the present setting where the interface is characteristic, a particular choice of dependent variables which are transmitted ensures the overall conservativity.

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